Προσέχετε ( verb 2nd pl pres imperat act ) "Beware" is the Greek prosecho, which means "hold to", "to offer", "turn to or toward," "to turn your mind toward," "to be on one's guard against", "to take heed", "to pay attention", "to devote oneself to", "to attach oneself", "to continue", "to hold fast to [a thing]," "to have in addition," or "pay court to." --

ἀπὸ (prep) "Of" is apo, a preposition of separation which means "from" or "away from" from when referring to place or motion, "from" or "after" when referring to time, "from" as an origin or cause.

τῶν γραμματέων ( noun pl masc gen ) "Scribes" is grammateus, which is generally a "secretary," "registrar", "recorder," and "scholar," but specifically means someone who uses gramma which is Greek for "drawings", "a letter," (as in an alphabet)"diagrams," and "letters" (as in correspondence).

τῶν (article pl masc gen) "Which" is the Greek article, "the," which usually proceeds a noun and, without a noun, takes the meaning of "the one" or, in the plural, "the ones." Here it is separated from its noun by a conjunction. 

θελόντων ( part pl pres act masc gen ) "Want" is thelo, which as a verb means "to be willing (of consent rather than desire)", "to wish", "to ordain", "to decree", "to be resolved to a purpose" "to maintain", "to hold", "to delight in, and "will (too express a future event with inanimate objects)." As a participle, it means "being willing" or, adverbially, "willingly," and "gladly". .

περιπατεῖν ( verb pres inf act ) "To walk" is peripateo, which means "to walk up and down", "to walk about," and "to walk about while teaching."

ἐν (prep) "In" is en, which means "in", "on", "at", "by", "among", "within", "surrounded by", "in one's hands", "in one's power," and "with". --

στολαῖς [uncommon] ( noun pl fem dat) "Long clothing" is from stole, which means "equipment", "fitting out", "armament", "equipment in dress", "raiment", "garment", "robe," and "the act of dressing."

καὶ  (conj/adv) "And" is kai, which is the conjunction joining phrases and clauses, "and," or "but." After words implying sameness, "as" (the same opinion as you). Used in series, joins positive with negative "Not only...but also." Also used to give emphasis, "even", "also," and "just." -- The Greek word translated as "and" is used as the conjunction "and", but it also is used to add emphasis ("also"). In a series, is best translated as "not only...but also." After words implying sameness "as".

φιλούντων ( part pl pres act masc gen ) "Love" is phileo , which means "to love", "to regard with affection", "to kiss," and "to approve of."

ἀσπασμοὺς [uncommon]( noun pl masc acc) "Greetings" is from aspasmos, which means "greeting", "embrace," and "affection."

ἐν (prep) "In" is en, which means "in", "on", "at", "by", "among", "within", "surrounded by", "in one's hands", "in one's power," and "with".

ταῖς ἀγοραῖς ( noun pl fem dat) "The markets" is from agora, which means "an assembly", "place of assembly," and "marketplace. "Public speaking" meant speaking in the marketplace.

καὶ (conj/adv) "And" is kai, which is the conjunction joining phrases and clauses, "and," or "but." After words implying sameness, "as" (the same opinion as you).

πρωτοκαθεδρίας [uncommon] (noun pl fem acc) "Highest seats" comes from protokathedria which literally means "first seats." The prefix in this word means "first" and "highest" from protos. In place, this means "the foremost." In order, it means "the first." Of rank or degree, it means "the highest" or "the best." It's root is kathedra, which means a "seat" to sit on, the "posterior," the "sitting posture", "sitting idle", "inaction," the "chair of a teacher," and "a throne."

ἐν (prep) "In" is en, which means "in", "on", "at", "by", "among", "within", "surrounded by", "in one's hands", "in one's power," and "with". -- The word translated as "in" also means "within", "with," or "among."

ταῖς συναγωγαῖς ( noun pl fem dat ) "Synagogue" is synagoge, which means a "bringing together", "assembly", "place of assembly", "contracting", "collection", "combination", "conclusion," and "demonstration." It comes from a Greek word Christ uses commonly, sunagô, to mean "gather" or "bring together."

καὶ (conj/adv) "And" is kai, which is the conjunction joining phrases and clauses, "and," or "but." After words implying sameness, "as" (the same opinion as you). Used in series, joins positive with negative "Not only...but also." Also used to give emphasis, "even", "also," and "just."

πρωτοκλισίας [uncommon] (noun sg fem acc) "Uppermost rooms" is from protoklisia, which means "first seat at table," literally "foremost couches." The prefix in this word means "first" and "highest" from protos. In place, this means "the foremost." In order, it means "the first." Of rank or degree, it means "the highest" or "the best." It's root is klisia, which means "a place for lying down or reclining", "anything for lying or sitting upon," a "couch for reclining at a table", "nuptial bed," and a "company" of people reclining at meals.

ἐν "In" is from en, which means "in", "on", "at", "by", "among", "within", "surrounded by", "in one's hands", "in one's power," and "with".

τοῖς δείπνοις [uncommon] (noun pl masc dat) "Feasts" is from deipnon, which means "a meal", "noonday meal," and, generally, "food."