You have an advantage here that English speakers do not. French already puts two bare verbs in a row with nothing between them: aller acheter, venir voir, faire manger. English has to insert 'to'. Thai works like the French version, and then extends it much further.
A Thai clause can carry three or four verbs in sequence with no conjunction, no preposition and no change of form on any of them. The order is the grammar.
- ไปซื้อข้าวpaj sɯ́ː kʰâːw
go and buy food
two verbs, no glue
- ออกไปซื้อʔɔ̀ːk paj sɯ́ː
go out to buy something
three
The order carries the meaning
Because nothing is marked, reversing two verbs produces a different sentence rather than a mistake. The first verb tends to set the frame and the last one tends to be the point.
This is worth testing on yourself with a pair you already know, because the difference is entirely in the sequence and there is nothing else to attend to.
- เดินไปdɤːn paj
walk there
the going is the point, on foot
- ไปเดินpaj dɤːn
go for a walk
the walking is the point
- พาไปpʰaː paj
take someone there
- เอาไปให้ʔaw paj hâj
take it and give it to them
three verbs, one event
The French error to watch for
เพื่อ means 'in order to' and it is a real word. The trouble is that pour is nearly weightless in French, so French speakers reach for เพื่อ at French frequency and produce sentences that sound like a legal document.
Default to the bare chain. Use เพื่อ only when the purpose is genuinely being contrasted with some other purpose, which is much rarer than your instinct will suggest.