Learn Turkish: Ailemle vakit geçiriyorum. - I am spending time with my family.

It is built in three parts: aile (family) + -m (my) + -le (with). The suffix -le is a shortened version of the word ile (with). Since the last vowel in ailem is an "e", it takes -le instead of -la to match vowel harmony rules.

Where is the word for "I" in this sentence?

You do not need to use the pronoun ben (I) here because the verb ending already shows who is doing the action. The -um at the very end of geçiriyorum specifically means "I am doing it".

Can I use geçiriyorum to say I am spending money?

No, Turkish uses different verbs for spending time and spending money. You use geçirmek to talk about spending time, but you must use harcamak to talk about spending money.

Why is the verb geçiriyorum instead of just geçiyorum?

Geçmek means "to pass" (like time passing by on its own). When you add the -ir- part to make geçirmek, it changes the meaning to "to cause to pass" or "to spend" time actively.