Each of those devices will connect to your local network without issue, provided your router has DHCP turned on (which is the default setting for every wireless router I've ever seen)?
Just be warned that the TV may not do anything useful on your network. I have only a small amount of experience with different Smart Tvs, but to me it appea that they connect directly to the internet for services. If your Tv's software is able to steam from a local source (eg. Streaming videos from another computer on the network), then you're in great shape.
It is also possible to set up your network so that you can tether your cell phone and actually access the Internet from your Tv, but this is a reasonably advanced task, and I think your performance would be terrible.
To answer your immediate question, though, pretend your smartphone and computer are both connected to the wireless router (or the computer is wired into the router because both are in the same room - it doesn't matter).
Your router's DHCP server will automatically assign a unique IP address to both devices. Let's say your phone is assigned the address of 192.168.1.50 and your computer gets 192.168.1.51.
If you were to open a command shell (CMD/command prompt in Windows, Terminal on a Mac), you can test this by issuing the following command:
ping 192.168.1.50
If that's the right address for your phone, you should get a result telling you how long the round trip to talk to your phone took. It's measured in milliseconds. On a home wireless network, you'll see something like 60ms.
If that was successful, congratulations - you've confirmed your devices are talking together. Now you just have to setup your software on each of the 3 devices to talk to one another. That depends on what device models you have and what you're trying to accomplish.
A wireless router would be a good start – Simon Sheehan – 2012-08-14T04:13:27.427
What else ? And what kinda settings should be looking at on the devices, just the norm ? , ssid will I need to assign an ip for each device or will it do it for me – Chris – 2012-08-14T04:17:12.553
Most routers will automatically assign IP addresses to new connecting devices – Robotnik – 2012-08-14T04:38:21.240