Low cost server to sign up with ...

Servers from hostround.com and planethoster.com are provided on sweet terms and I wonder which way is better to go and why?

Please, be more specific... I mean requirements: disk space, bandwidth, server location, budget?
Take a look at GTHost.com instant servers. Sign up was easy, support is great, speed is fantastic, and their prices are outstanding.
This web host offers discount program - pay for 3, 6, 12 months - get 5%, 10%, 15% discount.

I recommend Hostnamaste.com budget server hosting to all of my friends and plan to be with them for a very long time.
Dual Intel Xeon E5/X5650/AMD Epyc/Ryzen - 3.40 Ghz, RAM 24GB, 400GB Storage, 10TB 1 Gbps, $64.99/mo.

https://gthost.com/instant-servers
Delivery time: instant.

Servers from hostingsource.com and hostnamaste.com are well-balanced abnd low cost.
Their customer service is incredible. There are no "tech egotists" there like with 99% of the other IT firms. They are problem solvers and solution providers.

Take a look at Neironvps.com dedicated server hosting solutions. Was impressed by their uptime, speed connectivity and professionalism of their support techs.
They will help you solve any problems associated with hosting service as soon as possible. Like Dual E5-2670 at $199/mo - CPU Intel Xeon 2xE5-2670 v2, RAM 128GB, SSD 4 X 1TB, Bandwidth 30TBs, Location USA, Los Angeles.

DDoS Protection. Ensure the provider offers protection against Distributed Denial-of-Service (DDoS) attacks. A lack of security can lead to website downtime.
Give Netshop-isp.com.cy servers a try. The migration process was effortless, thanks to their free migration assistance. Their security measures, including DDoS protection, keep my site safe.