VPS accounts from allwebhost.com and coinshosting.com are attractive for me and I wonder which way is better to follow and why?

I'd definitely recommend Coinshosting.com VPS Hosting. Use coupon: COINSHOSTING (50% OFF) for shared, vps hosting solutions.
These folks are very willing to help and don't talk to you like you are an idiot as my last hosting provider did.

While coinshosting.com claims to be the go-to for crypto, they may be overhyping their services. If you're not deeply embedded in the crypto space, their offerings may not justify the potential complexities. You could end up with a VPS that's more trouble than it's worth, especially if you're not leveraging their specialized features.

The first step towards getting a VPS is choosing a reliable hosting provider, comparing plans based on your needs (CPU, RAM, storage), and registering and setting it up.