What tense is this sentence.....

Hello,

I am having trouble working out the tense of this sentence...

so I might stay somewhere else next time

Thanks so much!

As a teacher, what are your thoughts?

I am learning to teach... hence why I am asking the question. Anyone?

Geez.
And teacher expects us to do his homework for him!
You'll find you won't get spoon-fed on this site, without a bit of 'have a go' first on your part. As a native speaker yourself, quadruple so.

well you're talking about the future...

It's a modal verb (might) which means it always needs to be used in conjuction with a standard verb (in this case "stay") to express possibility/likelihood of doing something (in this case in the future).

I might play football
I might call you etc...

Brush up on your modal verbs, they're important and really useful.

The very best of luck with your teaching mate:-D