Both are so called re-director services. Whenever you log on, your actual dynamic IP get's "assigned" to one of their static IPs.
If you want a "real" static IP you'd have to talk to your ISP (Internet service provider) they might still have some but just so you know that's gonna cost you so make sure you test if the free services above suffice for your purposes.
System Manufacturer/Model Number HP m8000n OS Windows 7 Ultimate x86 CPU DualCore AMD Athlon 64 X2, 2600 MHz 5200+ Motherboard Asus M2N68-LA (Narra) Memory Samsung 2GB DDR2 Graphics Card Onboard NVIDIA GeForce 6150SE nForce 430 Sound Card Onboard nVIDIA nForce 6100-430 (MCP61P) Monitor(s) Displays Westinghouse 19" LED Screen Resolution 1280x1024
Keyboard Logitech Classic KB 200 Mouse Standard HP opticle USB mouse PSU Stock (HP) Case Stock (HP) Cooling Stock Hard Drives SATA II Seagate Barracuda 500GB
USB II WD Elements 500GB
USB II WD My Book 1TB
USB II WD My Book 2TB
You may not really need a static IP. A dynamic DNS entry might just do the trick for you. It's free and allows you to assign some type of DNS name to your dynamic IP address. Thus, you could connect home by connecting to myhomecomputer1.somedomain.com. And many routers work with the dynamic DNS services, so if your dynamic IP changes, it will notify dynamic DNS which will then change the DNS entry for you. This is what I have used for 5+ years and it works really nice without costing me a penny.
System Manufacturer/Model Number Self-Built in July 2009 OS Windows 7 Ultimate x64 CPU Intel Q9550 2.83Ghz OC'd to 3.40Ghz Motherboard Gigabyte GA-EP45-UD3R rev. 1.1, F12 BIOS Memory 8GB G.Skill PI DDR2-800, 4-4-4-12 timings Graphics Card EVGA 1280MB Nvidia GeForce GTX570 Sound Card Realtek ALC899A 8 channel onboard audio Monitor(s) Displays 23" Acer x233H Screen Resolution 1920x1080
Keyboard ABS M1 Mechanical Mouse Logitech G9 Laser Mouse PSU Corsair 620HX modular Case Antec P182 Cooling stock Hard Drives Intel X25-M 80GB Gen 2 SSD
Western Digital 1TB Caviar Black, 32MB cache. WD1001FALS Internet Speed 15/2 cable modem Other Info Windows and Linux enthusiast. Logitech G35 Headset.
System Manufacturer/Model Number HP m8000n OS Windows 7 Ultimate x86 CPU DualCore AMD Athlon 64 X2, 2600 MHz 5200+ Motherboard Asus M2N68-LA (Narra) Memory Samsung 2GB DDR2 Graphics Card Onboard NVIDIA GeForce 6150SE nForce 430 Sound Card Onboard nVIDIA nForce 6100-430 (MCP61P) Monitor(s) Displays Westinghouse 19" LED Screen Resolution 1280x1024
Keyboard Logitech Classic KB 200 Mouse Standard HP opticle USB mouse PSU Stock (HP) Case Stock (HP) Cooling Stock Hard Drives SATA II Seagate Barracuda 500GB
USB II WD Elements 500GB
USB II WD My Book 1TB
USB II WD My Book 2TB