I'm also a newby to this site. I've been a professional woodworker (cabinets, custon furniture, millwork, residential & commercial construction) for about 40 years. Love the taste of sawdust!!! It's in my blood.
I've both a table saw and mitresaw. If I had to choose one over the other I'd say go with the table saw. You can rip, crosscut and mitre on it. Just don't buy a cheapy. I've used the best in commercial saws (Powermatic, Delta etc.) Right now all I have is the Dewalt portable 10" saw and I absolutely love it. Paid $500.00 for it about 10 years ago. Never regretted a single dollar of the price. I'd recommend going slow on tool buying. Get one tool, learn all you can about its versatility, master it's use, then wisely consider your next purchase. Good quality tools will out last you and still do top notch work if properly maintained.
Happy sawdust trails to you.