Your other options you mentioned not only incur expenses but an STEEP incline in the learning curve of handling multiple devices, their interfaces, cloud recording, if any, etc. I would bet that in two years, you will be happy with your decision, if you chose an H3..
The OTT streaming services work well enough for some, but I just find them a pale shadow of what you get with a traditional linear TV service. Try them before you make a major decision is my advice. If they work for you, great, but you'd definitely lose your existing recording by going down that road. I think they will continue to improve with time, but I am not sure they will ever be everything I am going to want.
My plan is to trial OTT services first and make sure it will work as needed and most importantly that the wife is on board before anything is done. With the carbon update I have had issues successfully moving things to an EHD so recordings will be lost regardless of what I do. As far as the STEEP learning curve, the money I save will easily allow me to add 2 more Kindle TV's (I already have 1) and all TVs will have the same device and interface, plus easy/fast/reliable access to Amazon Prime video and Netflix.