When you feel confused about which character system your book choose, REMEMBER THIS, one in traditional characters, all in traditional characters!
As you know, some(not all) words have both traditional and simplified characters. If you find some(even one) of those words written in traditional characters, the whole book is in traditional characters and vice versa. So it's helpful to know some high-frequency words that have both characters, such as “中國”(China, simplified as "中国") ,"漢語"(Chinese, simplified as “汉语”).These words could be usually seen on the cover.
Or you can search the publishing company. If it's registered in mainland, this company generally use simplified characters.
I think it's not good to learn both of them in the beginning. Simplified characters is easier to learn and write. When you can master it, you can recognize most traditional characters as well, because they look similar or have certain transform method. You can search《汉字简化方案》for more details about simplification. To be honest, most Chinese never learn traditional characters but could still recognize them, unless reading ancient books or trying to learn the motivation of Chinese characters.
I majored in Chinese language and literature but poor at English, maybe we could help each other for a long term...
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I'm sorry I don't know any grammar book which has the examples in both traditional and simplified...I'd like to recommend a book named 《细说汉字:1000个汉字的起源与演变》by 左安民. It has oracle-bronze-traditional-simplified characters and I think it's fun to read. but the explanation is in simplified characters and not easy...
BTW, I'm not persuading you to give up traditional characters. Actually they are really fantastic, especially comparing with oracle or bronze characters! but I think simplified characters would be a wonderful access. Please don't misunderstand it.
If you are interested in ancient characters, maybe we could discuss about it.
wish you have a good time learning Chinese.