Welcome to IIS Robbie. You're off to a great start with those images and have some nice detail for such short integration. Well done!
I've done a fair amount of imaging in Alt-Az, as have many others. It's often called Electronic Assisted Astrophotography (or EAA for short) as it provides an almost live-view.
You can certainly do AP with an Alt-Az, but there are many limitations and you'll find that if you want to really go 'down the rabbit hole' the obstacles will start getting bigger and bigger. Sure you can get a wedge or rotator and keep using the same mount, but then again, it's probably much simpler with an eq mount instead.
In the meantime - short exposure Alt-Az imaging is heaps of fun and you can get decent images to show friends and family. Keeping exposures to 10-20sec will generally limit blurring due to rotation, and a good live stacking program (Sharpcap or ZWO Asistudio) is great to be able to watch the image develop in real time. I usually tried to get 15-20min to get a quick view, or 1-2hrs of data on a target if I want to reveal the fainter parts, and then you just crop the edges to remove the mess. Try a dual narrow band filter for emission nebula or a LP filter for broadband targets like galaxies if you're imaging in the city. Calibration frames will also be helpful if you want to do some post-processing of your images. If you're still wanting to to go further with it, a dedicated astro camera (not necessarily cooled) may be worthwhile, but do your research first before you drop any serious $$ on this.
Simply post processing can be done with PS, GIMP, or just PhotoShop Express on your phone.
Hope some of that helps -
