Oh deary me.
What budget do you have for the dedicated server? I didn't ask for your income and if you could rent a house to live in. When you ask for something, either a product or a service, mention a budget. I could post a dedicated server for $1,000.00 USD but what good is it if you can only spend $100.00 USD? So mention the max amount of money you want to spend on the server.
You still didn't answer what the specifications of your current server are. How are we supposed to post information and offers for you if we don't even know what you currently have? Imagine something post a SoYouStart server of the lowest tier. That might be underpowered and smaller than your current server. So it would be useless for you. You need to specify something that people can work with when they want to help you and post dedicated servers with better specifications and within your budget.
And... do you prefer any locations?
If Europe, Germany is alright I would suggest to take a look at the Hetzner server auctions:
https://www.hetzner.com/sb
You can configure what you are looking for. Very often there are great server deals. Like Intel Xeon servers with 16/32 GB RAM, two HDDs in RAID1 with big size and 1 GBit/s uplink with plenty of bandwidth for fairly low prices.
Intel Xeon E3-1245
1x 240 GB SSD
2x 3TB HDD
16 GB ECC RAM
Unlimited Traffic @ 1 GBit/s
48 € / Month
^ That's an example. There are cheaper ones but they have old i7 CPUs in them.
Just check the offers yourself and you will see.