The choice of which type of valve is a fairly personal decision - but one that may be strongly influenced by your surgeon, and is a decision that may actually be made by the surgeon during surgery.
There are a few factors at play - including the 'possibility' that something new will come along to either repair existing tissue valves in a non-invasive way, or through new mechanicals made of other materials (high strength, flexible plastics, for example), or other methods. There's the possibility that some new, obscenely expensive, anticoagulant may flood the market, with a strong marketing effort pushing the move from inexpensive warfarin to this new medication.
But we're not there yet. There's no guarantee if or when any of these new approaches will come to pass. Expecting that there will be a better alternative, or a non-invasive fix to aging tissue, or an alternative to the much maligned warfarin, is a gamble. There's no assurance that any of these will come to pass and, if so, how long they'll take for testing and approval by the FDA or other government health agencies.
I stated my personal opinion and experience - for myself. I'm not about to recommend one type or another to anyone here. I AM saying, though, that if you select a tissue valve, there's no real guarantee on how long it will last. In effect, you're sort of making a decision about how long you plan to live (in which case, you'll outlive the valve before it fails), hoping that the valve will stay operating for decades until you die of other causes or that the valve can somehow be repaired if it starts to fail (using a TAVI or other method), and, if so, that the TAVI repair will hold up long enough that you won't need another repair (each time they do a TAVI, the size of the orifice through which the blood flows gets smaller and smaller.
As others have noted here, and in other posts, repeating heart surgery is more difficult for the surgeons. There's scar tissue from earlier surgeries that they have to get through to reach the heart, and each re-operation becomes more risky than the ones before it. I expected to have my chest cracked open just once for the mechanical valve.
Warfarin really IS no big deal. Many on this forum self-test and self-manage. Others go to clinics. Some do both (unfortunately, I'm in that small minority - as of this week - my conservative doctor won't prescribe warfarin if I don't do this redundant, time consuming, expensive (in terms of time and distance) redundancy. I've been self-managing for 11 years, and others have been doing this for considerably longer. Whether it's one, two or three pills (I was taking 7.0 for a while - 1 1/2 of a 4 mg pill, plus a 1 mg pill), it isn't difficult to get a daily dosage that works for you. And, for the most part, it doesn't force many lifestyle changes on most of us.
I hope that this doesn't come off like a recommendation either way. These are just items to be considered when choosing the repair/replacement of a bad valve.