Amplifier or Receiver


I recently bought Klipsch Cornwall IV speakers and am looking to buy a receiver/amplifier to pair these with. I intend to keep a stereo setup for now but want to have the option of home theater for later. I looked at amplifiers and noticed that they do not have HDMI connections. Will that be an issue to connect with other digital devices? Also, receivers may be better for streaming services, etc. I need advice for buying the right amplifier or receiver for these speakers. Budget within $1500-4000.
oldieaudio
"  I believe a DVD/Blu Player will have one too. Thoughts?"
Some do but not all.  My Oppo 105 does.

Bill
Thanks all!
I finally decided and bought Yamaha A-S2100 integrated amplifier and Yamaha BD-A1060 Blu-ray disc player. It has a DAC as well as music streaming. Can't wait for everything to arrive and to hear them all finally. Thanks everyone for your help in making me reach a conclusion!
"I finally decided and bought Yamaha A-S2100 integrated amplifier and Yamaha BD-A1060 Blu-ray disc player. It has a DAC as well as music streaming."
Great choice on the amp. The BD-A1060 does have a DAC to convert it’s onboard digital signals to output analog but can’t be used as an outboard DAC for another sources’ digital signal(your TV).  It will convert the digital signals from USB stick music files.

Bill
Thanks willand. Can you recommend a reasonably priced DAC with/without a DVD player? I do have 14 days to return the BD-A1060 for which I paid $500.