How to introduce cats?

Recently i have come into a difficult situation that has caused me and my 2 male cats (both 2yrs old and neutered) to move back home with my mother and her female cat (spayed and about 7yrs old). we had to make this move quickly and couldn’t slowly introduce them as we would have liked. all 3 cats are indoor cats although Jack, my dominate one, likes to sneak out when he can. we thought maybe he would like to be outdoors since he doesn’t get along with Eve, the older female, but this isnt working. of course he is used to being inside the majority of the time and he isnt enjoying the outdoors. my mother is concerned for her older cat because she is temperamental and declawed...she may be able to entice a fight but she wouldnt be ale to finish it also she has been the only 4-legged animal in the home for years. do you have any tips to make this temporary living situation go smoother?