Ahhh...the delima

I too...for years used my Canon EOS Elan 7, 35 mm camera that I bought used on eBay and it came with a 100-300mm lens. OMG! I was in heaven! I also purchased a low end 500mm lens with a 2x converter to make it a 1000mm lens.
I was very new to a camera of this sort and being FILM I wasn't into taking zillions of shots for the heck of it as you well understand I'm sure.
I LOVE LOVE LOVE taking photo's at the rodeo and I found the 100-300mm lens to suit my needs rather well. Not too much zoom as the 500mm often was...and I found I never had a use for the 1000 mm and the lens was low end and pictures never came out as I was hoping. But I learned a lot and did get some nice photos especially for art reference, which is what I mainly take pictures for.
Years ago, my mother purchased my daughter a Kodak Easyshare C913 for her birthday. Not having a digital camera I started using it here and there and discovered I LOVED it! I took it camping and took some really neat macro shots of bees sleeping in thisle flowers and I wish my other computer didn't die, because I'd upload one to show you...they were awesome!
I found it to be perfect for everyday snap shots, landscape shots, indoor, outdoor...every picture came out perfect. And I took thousands and thousands of pictures!

It was small enough to fit in my purse and I didn't want to give it back so I ended up buying my own...a few years ago, they were about $80.00.
Like you mentioned...I used the easyshare for just about everything and pulled out the Canon for certain events where I thought the zoom would be helpful.
I saved and saved and FINALLY last year, I took the plunge and purchased a Canon T3...not the t3i...just the T3, it was the lowest end DSLR on the market last year. I could use my 100-300 mm lens from the Elan 7 on it and I have been having a blast!
HOWEVER - Although this camera does have it's purpose for me...it's not my everyday go to camera...I still prefer my Kodak EasyShare for the versatility and ease of packing around. I can easily slip it in my pocket, or in my purse...I have it with me EVERYWERE I go. Horseback riding, bike riding, hiking, take it to the beach...and if something happened to it...not a huge big deal because I can still replace it for around the $80.00 - $90.00....and I'm sure the ones on the market now are even better than the one I currently use.
They use the same memory card, the easyShare takes AA batteries which is VERY NICE because you can walk into any store and get batteries, and I get probably around 700 pictures for 2 AA batteries. Depends on how much I zoom in and out or if I use the video function...unlike the T3...special battery, special charger.
When I first got it, I took the T3 hiking with me, I was so excited to have such a nice camera to use and I quickly discovered that it's bulky, heavier and my neck got sore carrying it for long periods, that combined with always having to be extra careful when climbing on a rock or something...that it doesn't swing foward and hit the rock...I was ticked the first time it happened..:/ , I can't take it horseback riding with me and take on the ride shots that my daughter and I love to look back through...
So I guess what I'm pointing out is there are definite DISADVANTAGES to DSLRs. Yes they are nice, and they have their purpose...but I DEFINITELY see the advantages to the point and shoots.
I dont know what your budget is, but for right around the $100.00 - $150.00 mark I'm sure you'll find a great camera to suit your most everyday needs and pull out the Film for when you need the better zoom. Many of todays point and shoots take as good of pictures as the DSLR's, without the cost and bulk. Even their zoom capabilities have come a LONG way.
Good Luck!
Toni