I've owned my tanks for over 40 years. I've also been burned by Linde as a supplier, but the extra cost is small in the big scheme of things. I'll just never do business with Linde again.
I have 1 250 cu ft Argon tank, 1 110 cu ft 75/25 tank, one 30 cu ft Argon tank, 2 150 ish Acetylene tanks, and a 200 cu ft oxygen tank. All owned.
I get one tank fill perhaps every 5 years. Yes that means that I have at least 4 tanks that are out of certification. I figure it this way: A recert costs about 70-80 bucks, which is about 8 bucks per year.
Now there's a bunch of new things going on, and things keep evolving. so here's a few problems and how to get around them.
Acetylene: ARRG!
This is the really touchy one. In our area, and Ive been told it is the same in most areas: Acetylene is filled at a central location, (and for my suppliers it is in the U.S.). So I buy my bottle from a trusted supplier that I have a long term relationship with: the OxyPro on Barlow trail. Even when I have their bottle out of certification, they still exchange it, charge me about 50 bucks to recertify it, and give me a brand new one across the counter for a reasonable price. I understand that KMS has a similar program, but I haven't filled there ever.
Inert gasses: CO2 and Argon
When a supplier tries to bullshit you about damage, etc, they are trying to make you vulnerable. Stand up to them. Get the manager involved, or go to another supplier. Anyone can and will fill anyone's bottles - suppliers vary, but I've only had problems with Linde. I find the smaller gas suppliers to be more friendly toward hobbyists. KMS is also hobby oriented.
Oxygen
This is special because of the medical/commercial stuff. Ive had a supplier -once- refuse to fill for me. I just went elsewhere, and got it exchanged just fine. This is a place for the same kind of supplier as for acetylene. I now have my tanks sized so that I can just fill my oxygen and acetlyene at the same time. THe bigger invoice is a bit of an ouch, but it makes my supplier less touchy when dealing with a amateur.
Renting just doesn't make sense. I had a friend that rented an oxy/acetlyene set for 25 years - he used it 4 or 5 times and wehn he returned the tanks, they were almost full. Cost to rent? close to 1000 dollars. I've spent maybe 900 bucks in tanks total, including 3 recertifications. For 6 tanks. over 30+ years. Granted, most of my tanks were purchased towards the beginning of this time, and I've replaced 2 of them on fills and refilled one after recert.
Fact is, welding has an onging cost no matter how you do it. Recerts are cheap - about 3 years rental.