From the other side, I had my first chance to don the kilt and attend to the bonnie lass last Saturday. The accent is optional - we are attendants that are there to provide our guests the best experience possible. But I wanted to have as much fun as the guests, so a couple weeks ago I wrote Real Mad Hatter for some advice on sounding like a Scot. I followed his tips, and sure as Bob's your uncle had a grand day! One lovely English mom with a special needs child was very complementary and expressed a delighted shock when I said I grew up in Chicago. Now I'm still trying to learn some words and phrases to give the guests a fun and magical time, and have the right inflection in my voice, but I hope you would gauge your experience by the fun you have when you visit. And a tip of the tam to Hatter for the advice!
Good to see your making the effort, and that its working - fair play to you.
The thing with Scots is there is a Scots language, and the Scots accent, and the two don't necessarily go hand in hand. Someone will have a Scots accent but not speak in Scots or have the dialect from a particular part of the country.
That then gives problems in trying to mimic a Scots accent as people are prone to over pronounce words; trying to pronounce something believing it to be Scots, when in actual fact there is no real Scots way of pronouncing a word, its said as normal, but in a Scots accent (words like 'this' and 'fantastic' in a couple vids are examples); or rolling r's which then gives it a more Irish sound and emphasising 's' which is typical of someone trying too hard, and then misses the mark.
This site here has a few good phrases and tips on the pronounciations with Scots accent, like (what the hatter has probably said to you Nasaman, but this small insight might be of use to others) "where" as "wh-air" and "do" and "you" as "dae" and "yae" pronounced 'day'/'yay' and a good lot more - like what Braveheart has posted above where "is" tends to replace "as" and "us" and "ny / nae" replace "n't". The main one is the Glottal Stop where "tt" in words is dropped and replaced with what is pretty much a "h-h" so something "water" becomes "wah-her" and "letter" "leh-her" and so on, typically prounced ran together in one syllable, as is familiar in the Scots accent, where a syllable or two is dropped in most words. Even Scotland is often heard as 'Scoh(sounding like scaw)-lan', with the Glottal Stop and the 'silent d' which again is typical of Scots accent.
http://www.scots-online.org/grammar/spelling.htm
http://www.scots-online.org/grammar/preposee.htm
http://www.scots-online.org/grammar/goamins.htm
This link has two pages of words and phrases in Scots and you can hear how they are spoken. Many of the phrases are in Scots (the language), which many people don't fully know (myself included), so stick more to the words.
http://www.scotsindependent.org/features/scots/glossary.htm
When your saying bye to people why not come out with 'haste ye back' a traditional Scots phrase meaning come back soon.