Which method u try?  I dont quite catch why u talk anlut the model???? 

Use SuperOneClick ver 1.5.5...kindly refer to this link http://leemn.wordpress.com/2011/01/23/root...the-galaxy-tab/

Most of us use gt1000

For those asking which is best browser, it is up to your own taste and requirements. Different people have different expectations from a browser, and is not on speed alone. Eg user kmrdeva stands by his opera which I rank at near bottom - but if he is happy with it and meets all his expectations - it is his best browser and we should respect his decison.
All browsers are free, just download and test yourself and decide which is your best
My best browser is still dolphin HD, follow by xcope, miren, default, opera, skyfire and worst I feel is firefox

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Added on May 25, 2011, 10:53 am
I always say forget about KIES - is is just a bloated underperforming, unreliable  and practically s&^t software. It is the worst sync software I have ever used compared to symbian, windows mobile, iOS
Unless you want to use the KIES features to sync your phone - it is not necessary
Download and install KIES just for its USB drivers.  Your PC will recognize your phone and you can than use Odin, Heimdall etc to manually push files over, flash roms , flash kernels etc. You don't need KIES and to say you need KIES to update your firmware - I'd also say forget about it - you will " die" waiting for a successful update. Most users will agree that using KIES to update firmware is a pain in the ass , the success rate is low. It is quicker , easier to flash the firmware yourself using Odin
Also note updating firmware through KIES is country dependent - if there is no update released to the country your Tab originates, you will see no update. Especially with those AP sets from Europe, UK, Middle east abundant here - you can never update your firmware thro KIES even if there is a updated release

Is KIES successfully installed ? If so, than is your PC related issues which seems to be incompatible/or conflict with KIES. There are many complains from users about this issue and you now only have one choice left. Install the Android USB drivers . Download Android SDK from http://developer.android.com/sdk/index.html
Run the exe file - after successful extraction, run SDK manager - select the Android versions - at last select all ver 2.0 and above. Please read the instructions shown when running this - it is not that user friendly
Restart computer and your Tab should be able to be detected by PC and you can use SuperOneclick