Meddy,
http://www.penang-traveltips.com/
it's a general guide, not really suitable for people with children... if you have any qns can ask here and I'll try to answer.
This time round, we went out without bringing our own highchair (since he stopped biting highchairs, should be safer). Quite a few coffeeshops have highchairs available lah, some dirtier than others! Restaurants have highchairs (we ate there 50% of the time). If there wasn't a highchair availabe (at coffeeshop), I just put Jesse in the stroller. Usually I feed him at home first before we go out to eat. When we're out, I just give him snacks or if at restaurant, give him a bowl with some rice and tofu or something, let him self-feed. He enjoyed that. This time round, meal times were really quite easy.
Places I can recommend:
1) Northam Beach Cafe (hawker, evening, outdoor, next to sea, high chair available, 30mins walk from G hotel or the cab will probably charge you RM10, it's a rip off, but what the heck) - supposed to have good wantan mee and char kway teow. Though that day I had western food.
2) Gurney Drive Hawker Center (outdoor, near you, don't have to worry about transport, no highchair) I like the char kway teow but haven't been there for years...the rojak (diff from SG) and soya bean with brown sugar is also good.
3) New World Park (One section food court, sheltered but open-air, Ikea highchair). I've tried various hawker fare here...it's okay lah.
4) Mama's Nyonya food, Abu Sitee Lane, (restaurant, highchair available)
5) 747 Restaurant, at YMCA, Jalan Macalister & Adams Road (nyonya food, highchair) I love this place only because I used to stay at a house opposite and went there for ice-cream a lot. But their fish head curry, choon piah (spring roll) and stuff also good.
6) Ocean Green (non-a/c restaurant, by the sea, sheltered, highchair) It serves seafood. Quite near G Hotel (near Northam Beach Cafe also).
There are also lots of restaurants at Gurney Plaza. My mom's current favourite is Kim Gary (3rd or 4th flr). She also tells me the breakfast at Manila Place (G flr facing the hotel) is good...but everytime I go, it's closed (either I'm too early or there's a pte function). I had tea at Winter Warmers also facing the hotel on the mall side, it's quite cute because of the dainty teapots and cups.
As for places to go, I don't usually go anywhere, but previously mentioned, there's 1) horseback riding at Shangri-La(?) at B.F'ghi area. Jesse loves the 2) Youth Park, near 3) Botanical Gardens and my friend who went with her family (two young children) said they liked the 4) Butterfly Park. Though she also said it's hard with two young kids (2y5m and 9m) and no one to bring them around.
As for shopping, I think can stick to Gurney Plaza and/or Queensbay Mall (my mom says chendol at foodcourt is good) if you have the time. Q'bay Mall is about 20 mins drive from your hotel. But it's a pretty big mall, don't think the shops mix repeat at both mall.
Don't know how else I can help cos I'm usually driven or I usually drive. If you have any other qns ask lor...we have people who really grew up in PG here...not me. I'm fully sporean.