One strategy I’ve found for dealing with Latin words with multiple meanings is to try to guess the meaning from context and then see if I can find that meaning in the lexicon article. It also helps to determine how the word is being used (or how you think it’s being used). If it’s a verb, is it being used in an active or passive voice or as a deponent? Is it being used impersonally? Is it being used reflexively? Transitively or Intransitively? What mood is it in -indicative, subjunctive, infinitive, imperative? Knowing this information can help you narrow down your search. Same goes for nouns-knowing the case a noun is used in may yield a specific meaning or an idiomatic usage.
In the case of praesto, you guessed that in this context, it probably means “to be a certain way”, in other words, behave. If you look at the L&S article for praesto, the first thing you notice is that it can be used as an adverb or as a verb, so skip down to the section dealing with the verb. Now look at the possible meanings, which are highlighted by being in italics. Remember you’re looking for its reflexive use:
Section I has meanings associated with “stand before”, so the meaning you’re looking for probably isn’t there.
Section II has three sections A,B, and C listing meanings in the active voice:
A. Surpass - probably not
B. To become surety for - not really
C. (gen.=general meaning) To fulfill, discharge, perform (possibly). Well, this is closer to your meaning than the other two, so let’s look at particular meanings (Section C2)
a. keep, preserve, maintain (close!)
b. show, exhibit, prove, manifest - this is worth exploring further - ah! “With se, to show, prove, or behave one’s self as”
Guess confirmed.
Pianophile, if I’m “preaching to the choir”, forgive me. For that matter, there others on this board far more learned than I am who may have a better system. This is what works for me, so I’m passing it along to help you and others make more efficient use of lexica and dictionaries. I’ll admit, Lewis & Short was pretty daunting when I first started to use it. It makes looking up German Sprichwörter seem dead easy! As an additional aid, here’s a link to the abbreviations at the front of the dictionary:
https://archive.org/details/in.ernet.dli.2015.147309/page/n13/mode/2up