Aileyelimle meshgulum = Would I statement be correct in saying " I am busy with my family"

Thank youuuu

 I think it should be ´ailemle meþgulum´ 

I agree with you L.I.R.

ailemle meþgulum

Just to elaborate

aile=family

aile+im=ailem=my family (just add ´m´ for ´my´ on words ending in a vowel)

ailem+ile=ailemle=with my family.

Hope this helps.